Base | Representation |
---|---|
bin | 1000001010111110110100 |
3 | 11000211110020 |
4 | 20022332310 |
5 | 1022022012 |
6 | 113525140 |
7 | 24131166 |
oct | 10127664 |
9 | 4024406 |
10 | 2142132 |
11 | 1233463 |
12 | 8737b0 |
13 | 5a0045 |
14 | 3da936 |
15 | 2c4a8c |
hex | 20afb4 |
2142132 has 24 divisors (see below), whose sum is σ = 5038656. Its totient is φ = 708288.
The previous prime is 2142121. The next prime is 2142149. The reversal of 2142132 is 2312412.
2142132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 993 + ... + 2295.
It is an arithmetic number, because the mean of its divisors is an integer number (209944).
22142132 is an apocalyptic number.
It is an amenable number.
2142132 is an abundant number, since it is smaller than the sum of its proper divisors (2896524).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142132 is a wasteful number, since it uses less digits than its factorization.
2142132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1447 (or 1445 counting only the distinct ones).
The product of its digits is 96, while the sum is 15.
The square root of 2142132 is about 1463.6024050267. The cubic root of 2142132 is about 128.9086547614.
Adding to 2142132 its reverse (2312412), we get a palindrome (4454544).
It can be divided in two parts, 214 and 2132, that added together give a triangular number (2346 = T68).
The spelling of 2142132 in words is "two million, one hundred forty-two thousand, one hundred thirty-two".
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